The 2-adic representations attached to elliptic curves defined over Q whose points of order 2 are all Q-rational

Kumiko NISHIOKA

doi:10.2969/jmsj/03520191

Kumiko NISHIOKA

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 2 Pages 191-219

DOI https://doi.org/10.2969/jmsj/03520191

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Published: 1983 Received: July 10, 1980 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) B.J. Birch and H.P.F. Swinnerton-Dyer, Notes on elliptic curves I, J. Reine Angew. Math., 212 (1963), 7-25.
2) J.W.S. Cassels, Diophantine equations with special reference to elliptic curves, J. London Math. Soc., 41 (1966), 193-291.
3) L.E. Dickson, History of the theory of numbers II, 1934.
4) D. Kubert, Universal bounds on the torsion of elliptic curves, Proc. London Math. Soc., (3), 33 (1976), 193-237.
5) S. Lang, Algebraic number theory, Addison-Wesley, 1970.
6) L.J. Mordell, Diophantine equations, Academic Press, 1969.
7) J.-P. Serre, Abelian l-adic representations and elliptic curves, Benjamin, Addison- Wesley, 1968.
8) J.-P. Serre, Points rationnels des courbes modulaires X₀(N), Séminaire Bourbaki, 0^e année, 1977/1978, n°511.
9) G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971.

Right : [1] B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves I, J. Reine Angew. Math., 212 (1963), 7-25.
[2] J. W. S. Cassels, Diophantine equations with special reference to elliptic curves, J. London Math. Soc., 41 (1966), 193-291.
[3] L. E. Dickson, History of the theory of numbers II, 1934.
[4] D. Kubert, Universal bounds on the torsion of elliptic curves, Proc. London Math. Soc., (3), 33 (1976), 193-237.
[5] S. Lang, Algebraic number theory, Addison-Wesley, 1970.
[6] L. J. Mordell, Diophantine equations, Academic Press, 1969.
[7] J. -P. Serre, Abelian l-adic representations and elliptic curves, Benjamin, Addison-Wesley, 1968.
[8] J. -P. Serre, Points rationnels des courbes modulaires X₀(N), Séminaire Bourbaki, 30^e année, 1977/1978, n°511.
[9] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton University Press, 1971.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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